I have build simple LM317 power supply.Input is
12v (I am using computer power supply), and the output is around
4v .I was wondering, can i use this to charge my 3.7v lithium batteries?
Here is schematic of my circuit
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Be careful charging lithium batteries. There are lots of safety issues. You need a way to control the current, terminate charge, and monitor battery temperature to do it properly. If you don't do these things properly there's a real risk of fire or even explosion. Yes, most lithium batteries can charge with a voltage of 4V, but without carefully following the charging recommendations in the battery datasheet you run the risk of getting in trouble. So to answer your question, no, you should not use your LM317 circuit to charge your lithium batteries.